yes but the private key in the RSA algorithm is only (N, D).
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Nicola PesaventoOct 5 '11 at 12:03

It is true that, mathematically, only (N,D) are needed. However, some implementations require the full PKCS#1 suite of private key parameters. I don't know if Microsoft's is one of those but you can do a simple experiment to find out.
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GregSOct 5 '11 at 23:10